An Optimal Method for Constant Grinding Force PID Control Based on Improved Firefly Algorithm

Abstract

The invention provides a constant grinding force PID (Proportion Integration Differentiation) control optimization method based on an improved firefly algorithm. The method is characterized by comprising the following steps: step 1, initializing basic parameters of the algorithm; step 2, randomly initializing positions of fireflies, and calculating a target function value of each firefly as respective maximum fluorescence brightness I0; step 3, calculating the relative brightness I and attraction beta of the fireflies in a colony according to a relative fluorescence brightness formula and an attraction formula of the fireflies, and determining the moving directions of the fireflies according to the relative brightness I; step 4, updating spatial positions of the fireflies according to a position updating formula of the fireflies, and reserving the positions of lighter fireflies; step 5, recalculating the brightness of each firefly according to the updated positions of the fireflies; step 6, turning to next step if a maximum number maxT of iterations is achieved, otherwise, adding to the number of searches and turning to step 3 for next search; and step 7, outputting global extreme points and position values of optimal individuals.

Description

technical field [0001] The invention relates to the technical field of automatic control, in particular to a constant grinding force PID control optimization method based on an improved firefly algorithm. Background technique [0002] The rail milling and grinding car is a new type of efficient rail grinding equipment. The milling and grinding car is used to repair the rails regularly, which can prevent rail corrugation, contact fatigue, crack expansion and wear, prolong the service life of the rail, and ensure the smooth operation of the train. smoothness. During the grinding operation of rail milling and grinding vehicles, the pressing system of the grinding disc is the key to grinding the rail. Only by controlling the constant pressure of the grinding disc to contact the rail can the constant pressure grinding be realized. In order to achieve constant force grinding of rails and eliminate the influence of interference factors, it is necessary for the grinding disc to hav...

AI Technical Summary

Problems solved by technology

However, due to the relatively short time for the firefly algorithm to be proposed, the mathematical theory is not yet perfect, and the basic firefly algorithm has defects such as easy to fall into local optimum, premature convergence, slow convergence speed and easy oscillation in the later stage.

Therefore, in the actual application process, the control effect of the PID control system based on the basic firefly algorithm is not ideal, which limits the application of the firefly algorithm in PID controllers.

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